Evaluate the Iterated Integral $\int _ { 0 } ^ { 2 } \int _ { 0 } ^ { 1 } \int _ { 0 } ^ { x } 6 x y ^ { 2 } \sin z d z d y d x$

question 1

Multiple Choice

Evaluate the iterated integral $\int _ { 0 } ^ { 2 } \int _ { 0 } ^ { 1 } \int _ { 0 } ^ { x } 6 x y ^ { 2 } \sin z d z d y d x$ .

• A) \(\sqrt { 2 }\)
• B)2
• C)4
• D)16
• E)12
• F) \(2 \sqrt { 2 }\)
• G)48
• H)8

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